X and Y can do a piece of work in 12 days,Y and Z can do it in 15 days while z and xcan finish it in 20 days .In how many days can X,Y,Z finish it
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ANSWER : 10 days
SOLUTION :
Work done by (x+y) in 1 day = 1/12
Work done by (y+z) in 1 day = 1/15
Work done by (x+z) in 1 day = 1/20
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2(x+y+z) = 12/60
=1/5
=> (x+y+z) =1/10
1 day's work = 1/10
Total number of days = 1×10 = 10
So, X, Y and Z together can complete the work in 10 days.
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